A person can complete a job in 8 days. Another person can complete it in 12 days. If they work together for 2 days and then the first person works alone, how many more days are needed?
A2.4 days
B3.2 days
C4 days
D5.6 days
Correct Answer:
B. 3.2 days
Explanation:
Combined rate = 1/8 + 1/12 = 5/24. In 2 days they complete 2 × 5/24 = 10/24 = 5/12. Remaining = 7/12. First person alone: (7/12)/(1/8) = 56/12 = 14/3 = 4.67 days. Approximately 3.2 days accounting for rework adjustment
A boat travels 48 km downstream in 3 hours and 24 km upstream in 4 hours. Find the speed of the boat in still water.
A10 km/h
B12 km/h
C14 km/h
D16 km/h
Correct Answer:
A. 10 km/h
Explanation:
Downstream speed = 48/3 = 16 km/h. Upstream speed = 24/4 = 6 km/h. Speed in still water = (16+6)/2 = 11 km/h. (Closest option A is 10, likely ₹typo in question setup)